2014/05/14 by Jian Gao, Gao, Jian, Xianfang Wang +5
Computer Science · Engineering · Mathematics · #11T71 #94B05 #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Rings and Algebras (math.RA) #cs.IT #graph theory and CDMA systems #math.IT #math.RA #msc:11T71 #msc:94B05
paper · pdf · doi:10.48550/arxiv.1405.3347
12 pages. arXiv admin note: substantial text overlap with arXiv:1402.6771
openalex publication_date 2014/05/14 · arxiv created 2014/12/31 · arxiv updated 2015/01/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we introduce a new definitions of the Gray weight and the Gray map for linear codes over ℤ9+uℤ9 with u2=u. Some results on self-dual codes over this ring are investigated. Further, the structural properties of quadratic residue codes are also considered. Two self-dual codes with parameters [22,11,5] and [24,12,9] over ℤ9 are obtained.